Extensions 1→N→G→Q→1 with N=S₃×C₂₂ and Q=C₂

Direct product G=N×Q with N=S₃×C₂₂ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₂₂		132		S3xC2xC22	264,37

Semidirect products G=N:Q with N=S₃×C₂₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₂)⋊₁C₂ = C₃₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₂	132	4-	(S3xC22):1C2	264,8
(S₃×C₂₂)⋊₂C₂ = C₁₁⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₂	132	4+	(S3xC22):2C2	264,10
(S₃×C₂₂)⋊₃C₂ = C₂×S₃×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₂	66	4+	(S3xC22):3C2	264,34
(S₃×C₂₂)⋊₄C₂ = C₁₁×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₂	132	2	(S3xC22):4C2	264,20
(S₃×C₂₂)⋊₅C₂ = C₁₁×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₂	132	2	(S3xC22):5C2	264,22

Non-split extensions G=N.Q with N=S₃×C₂₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₂).C₂ = S₃×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₂	132	4-	(S3xC22).C2	264,6
(S₃×C₂₂).₂C₂ = S₃×C₄₄	φ: trivial image	132	2	(S3xC22).2C2	264,19

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